Transformation involves moving a point away from its original location.
- The sequence of transformation is: rotated, then translation
- The transformation mapping is:[tex](x,y) \to (y - 2, -x + 1)[/tex]
(a) Sequence of transformation
From the graph, we have the following observations
- Figure B was rotated 90 degrees clockwise
- Then, it was translated left and up
(b) The transformation mapping
Two corresponding points on figures B and A are:
[tex]B= (-3,-3)[/tex]
[tex]A= (-5,4)[/tex]
The rule of 90 degrees clockwise rotation is:
[tex](x,y) \to (y.-x)[/tex]
So, we have:
[tex](-3,-3) \to (-3.3)[/tex]
Next, B' was translated up by 1 unit.
The rule is:
[tex](x,y) \to (x, y+1)[/tex]
So, we have:
[tex](-3,3) \to (-3, 3+1)[/tex]
[tex](-3,3) \to (-3, 4)[/tex]
Lastly, B" was translated left by 2 units.
The rule is:
[tex](x,y) \to (x - 2,y)[/tex]
So, we have:
[tex](-3,4) \to (-3 - 2,4)[/tex]
[tex](-3,4) \to (-5,4)[/tex]
Hence, the transformation mapping is:
[tex](x,y) \to (y - 2, -x + 1)[/tex]
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